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Finding the Fourth Proportional to 14,119.70, 21,178.17 and 8,571.56

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Solution

The fourth proportional to 14,119.70, 21,178.17 and 8,571.56 is: 12,856.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,119.70 : 21,178.17 = 8,571.56 : x
  2. Step 2: Convert to fraction form
    14,119.70/21,178.17 = 8,571.56/x
  3. Step 3: Cross multiply
    14,119.70x = 21,178.17 × 8,571.56
  4. Step 4: Simplify right side
    14,119.70x = 181,529,848.95
  5. Step 5: Solve for x
    x = 181,529,848.95/14,119.70
  6. Step 6: Final answer
    x = 12,856.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.